One, two, three, four, five, six, seven, eight. The four edges on the base and the four vertices.
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A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
A pentagonal pyramid has 10 edges.
If side refers to 'face', then the pyramid would be a quadrilateral pyramid with 8 edges. If side refers to the base of the pyramid, it would be a pentagonal pyramid with 10 edges.
A Pentagon Pyramid has six edges!
A triangular pyramid has 6 edges.